Spin detection via parametric frequency conversion in a membrane resonator
arXiv:2003.04557 · doi:10.1103/PhysRevApplied.14.014042
Abstract
Recent demonstrations of ultracoherent nanomechanical resonators introduce the prospect of new protocols for solid state sensing applications. Here, we propose to use two coupled ultracoherent resonator modes on a SiN membrane for the detection of small nuclear spin ensembles. To this end, we employ parametric frequency conversion between nondegenerate modes. The nondegenerate modes result from coupled degenerate resonators, and the parametric conversion is mediated by periodic inversions of the nuclear spins in the presence of a magnetic scanning tip. We analyze potential noise sources and derive the achievable signal-to-noise ratio with typical experimental parameter values. Our proposal reconciles the geometric constraints of optomechanical systems with the requirements of scanning force microscopy and brings forth a new platform for spin-phonon interaction and spin imaging.
arXiv comment13 pages, 6 figures
References in corpus (37)
- Cavity Optomechanics
- Introduction to Quantum Noise, Measurement and Amplification
- Measurement-based quantum control of mechanical motion
- Ultra-coherent nanomechanical resonators via soft clamping and dissipation dilution
- Ultrasensitive force detection with a nanotube mechanical resonator
- Feedback cooling of a cantilever's fundamental mode below 5 mK
- Single-Crystal Diamond Nanomechanical Resonators with Quality Factors exceeding one Million
- Coherent phonon manipulation in coupled mechanical resonators
- Mechanical Resonators for Quantum Optomechanics Experiments at Room Temperature
- Ultralow-Noise SiN Trampoline Resonators for Sensing and Optomechanics
- Coherent control of a nanomechanical two-level system
- Surpassing fundamental limits of oscillators using nonlinear resonators
- Response of parametrically-driven nonlinear coupled oscillators with application to micro- and nanomechanical resonator arrays
- Nanoscale nuclear magnetic resonance with a 1.9-nm-deep nitrogen-vacancy sensor
- Force sensitivity of multilayer graphene optomechanical devices
- Force-detected nuclear magnetic resonance: Recent advances and future challenges
- Non-degenerate, three-wave mixing with the Josephson ring modulator
- Universal Vectorial and Ultrasensitive Nanomechanical Force Field Sensor
- Vectorial scanning force microscopy using a nanowire sensor
- Nanomechanical detection of nuclear magnetic resonance using a silicon nanowire oscillator
- Quantum limits of cold damping with optomechanical coupling
- Ultrasensitive Displacement Noise Measurement of Carbon Nanotube Mechanical Resonators
- The role of spin noise in the detection of nanoscale ensembles of nuclear spins
- Frequency and phase noise of ultra-high Q silicon nitride nanomechanical resonators
- Parametric symmetry breaking in a nonlinear resonator
- Optimal operating points of oscillators using nonlinear resonators
- The Classical Bloch Equations
- Spin detection with a micromechanical trampoline: Towards magnetic resonance microscopy harnessing cavity optomechanics
- Nanoladder cantilevers made from diamond and silicon
- Magnetic resonance force microscopy with a one-dimensional resolution of 0.9 nanometers
- Theory of spin relaxation in magnetic resonance force microscopy
- High-Resolution Nanoscale Solid-State Nuclear Magnetic Resonance Spectroscopy
- Soft-clamped phononic dimers for mechanical sensing and transduction
- Spin Relaxation Caused by Thermal Excitations of High Frequency Modes of Cantilever Vibrations
- Magnetic Resonance Force Detection using a Membrane Resonator
- Accelerated nanoscale magnetic resonance imaging through phase multiplexing
- Feasibility of imaging using Boltzmann polarization in nuclear Magnetic Resonance Force Microscopy
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- Ground State Cooling of an Ultracoherent Electromechanical System
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- Room-temperature quantum optomechanics using an ultra-low noise cavity
- Nanomechanical resonators with ultra-high- perimeter modes
- Soft-clamped phononic dimers for mechanical sensing and transduction
- Modelling and observation of nonlinear damping in dissipation-diluted nanomechanical resonators
- Roadmap on Nanoscale Magnetic Resonance Imaging
- Strong parametric coupling between two ultra-coherent membrane modes
- Tunnelling of transverse acoustic waves on a silicon chip
- Enhancing Membrane-Based Scanning Force Microscopy Through an Optical Cavity
- Quantitative signal extraction in the dynamic range of nanomechanical systems by free and constrained fitting
- Near-resonant nuclear spin detection with megahertz mechanical resonators
- Soft-clamped silicon nitride string resonators at millikelvin temperatures
- Differential Magnetic Force Microscopy with a Switchable Tip
- Topology optimization of high-performance optomechanical resonator
- Cooling classical many-spin systems using feedback control
- On-Chip Frequency Noise Cancellation in Nanomechanical Resonators using Cavity Optomechanics